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Finding the Fourth Proportional to 360.24, 540.23 and 113.42

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Solution

The fourth proportional to 360.24, 540.23 and 113.42 is: 170.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360.24 : 540.23 = 113.42 : x
  2. Step 2: Convert to fraction form
    360.24/540.23 = 113.42/x
  3. Step 3: Cross multiply
    360.24x = 540.23 × 113.42
  4. Step 4: Simplify right side
    360.24x = 61,269.62
  5. Step 5: Solve for x
    x = 61,269.62/360.24
  6. Step 6: Final answer
    x = 170.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.